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The paragraph of אמר רבי אלעזר בן עזריה is talking about when רבי אלעזר בן עזריה stayed up all night in בני ברק  and his students had to come to him in the morning and tell him it is time for קריאת שמע. I had a question: Why do we read this paragraph on the seder night? 

There are tons of answers to this question but I am going to focus on 1 answer. The Arbarbenel says in his commentary on the haggadah that this is a proof of the statement the haggadah made earlier וכל המספר ביציאת מצרים הרי זה משובח. This proof shows that if we are obligated to mention יציאת מצרים every night, then why not just have a night dedicated to it. So we all fulfil the mitzvah of .זכרון יציאת מצרים This paragraph show us an example of the mitzvah and how you should do it correctly . (Now obviously don't be up all night but you should really talk about it at your seder).

Why do we quote the story of Rav Elazar Ben Azaryah in the Haggadah? - Mi Yodeya

https://judaism.stackexchange.com/questions/90915/why-do-we-quote-the-story-of-rav-elazar-ben-azaryah-in-the-haggadah


haggadah Section: -- Exodus Story